180044160 has 128 divisors (see below), whose sum is σ = 581644800. Its totient is φ = 47364096.

The previous prime is 180044149. The next prime is 180044201. The reversal of 180044160 is 61440081.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 180044160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151087 + ... + 152273.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^180044160 is an apocalyptic number.

180044160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

180044160 is an abundant number, since it is smaller than the sum of its proper divisors (401600640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180044160 is a wasteful number, since it uses less digits than its factorization.

180044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 180044160 is about 13418.0535101035. The cubic root of 180044160 is about 564.6677870543.

The spelling of 180044160 in words is "one hundred eighty million, forty-four thousand, one hundred sixty".